Question

Is 1/3 closest to 0 1/2 or 1

Answer 1

The distance between 1/3 and 0.5 is the smallest, 1/3 is closest to 0.5.

1/3 is closest to 0.5, which is halfway between 0 and 1.

To see why, we can compare the distances between 1/3 and each of the other two numbers:

The distance between 1/3 and 0 is 1/3, since 1/3 - 0 = 1/3.

The distance between 1/3 and 1 is 2/3, since 1 - 1/3 = 2/3.

The distance between 1/3 and 0.5 is 1/6, since 0.5 - 1/3 = 1/6.

Since the distance between 1/3 and 0.5 is the smallest, 1/3 is closest to 0.5.

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Answer 2

$\frac{1}{2}$ is closest to $\frac{1}{3} .$

• An expression for a portion of a whole is a fraction. The whole can be any particular thing or value, and the fraction might be a portion of any quantity out of it.
• The top and bottom numbers of a fraction are explained by the fundamentals of fractions. The bottom number reflects the entire number of components, while the top number represents the number of chosen or coloured portions of the whole.
• If the two fractions have different denominators, we must combine them by first determining the LCM of the denominators and then making it the same for both fractions.
• The rules for addition and subtraction apply equally when subtracting two or more fractions. To subtract two fractions, the denominators need to be similar.

Here, according to the given information, we are given that,

The fraction $\frac{1}{3}$ is given.

Difference between $\frac{1}{3}$ and 0 is, $\frac{1}{3} -0 = \frac{1}{3}.$

Difference between $\frac{1}{3}$ and $\frac{1}{2}$ is, $\frac{1}{2} -\frac{1}{3} =\frac{3-2}{6} =\frac{1}{6} .$

Difference between $\frac{1}{3}$ and 1 is, $1 -\frac{1}{3} =\frac{3-1}{3} =\frac{2}{3} .$

Now, taking the three differences and taking LCM, we get,

$\frac{2,1,4}{6} .$

This means that, $\frac{1}{2}$ is closest to $\frac{1}{3} .$

Hence, $\frac{1}{2}$ is closest to $\frac{1}{3} .$

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